Conjugation spaces.
Hausmann, Jean-Claude, Holm, Tara, Puppe, Volker (2005)
Algebraic & Geometric Topology
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Hausmann, Jean-Claude, Holm, Tara, Puppe, Volker (2005)
Algebraic & Geometric Topology
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Tamanoi, Hirotaka (2003)
Algebraic & Geometric Topology
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Elezi, Artur (2003)
International Journal of Mathematics and Mathematical Sciences
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Živaljević, Rade T. (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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Ugo Bruzzo, Vladimir Rubtsov (2012)
Open Mathematics
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We study a holomorphic equivariant cohomology built out of the Atiyah algebroid of an equivariant holomorphic vector bundle and prove a related localization formula. This encompasses various residue formulas in complex geometry, in particular we shall show that it contains as special cases Carrell-Liebermann’s and Feng-Ma’s residue formulas, and Baum-Bott’s formula for the zeroes of a meromorphic vector field.
Indranil Biswas, S. Senthamarai Kannan, D. S. Nagaraj (2015)
Complex Manifolds
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Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection. We show some relationship between the condition that EH admits a G–equivariant structure and the condition that EH admits a (flat) G–connection. The cases of bundles on homogeneous spaces and smooth toric varieties are discussed.
Graeme Segal (1968)
Publications Mathématiques de l'IHÉS
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Teleman, Constantin (2000)
Annals of Mathematics. Second Series
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Dieter Erle (1975)
Compositio Mathematica
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Raj Bhawan Yadav (2023)
Czechoslovak Mathematical Journal
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We introduce equivariant formal deformation theory of associative algebra morphisms. We also present an equivariant deformation cohomology of associative algebra morphisms and using this we study the equivariant formal deformation theory of associative algebra morphisms. We discuss some examples of equivariant deformations and use the Maurer-Cartan equation to characterize equivariant deformations.